2002968000 has 560 divisors, whose sum is σ = 8112300768. Its totient is φ = 483840000.

The previous prime is 2002967963. The next prime is 2002968017. The reversal of 2002968000 is 8692002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7127860 + ... + 7128140.

Almost surely, 2^2002968000 is an apocalyptic number.

2002968000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056150384).

2002968000 is an abundant number, since it is smaller than the sum of its proper divisors (6109332768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002968000 is a wasteful number, since it uses less digits than its factorization.

2002968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2002968000 is about 44754.5304969229. The cubic root of 2002968000 is about 1260.5439827983.

The spelling of 2002968000 in words is "two billion, two million, nine hundred sixty-eight thousand".